Two positive point charges of 15 into 10^-10 C and 13 into 10^-10 C are placed 12cm apart.Find the work done in bringing
the two charges 4cm closer ?
To find the work done in bringing the two charges 4cm closer, we need to calculate the change in potential energy (ΔU) of the system.
The formula to calculate the work done is given by:
Work (W) = ΔU = Uf - Ui
where Uf is the final potential energy and Ui is the initial potential energy.
The potential energy (U) between two point charges is given by:
U = k * (q1 * q2) / r
where k is the electrostatic constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
Let's calculate the initial potential energy (Ui) with the initial distance of 12cm:
Ui = (8.99 x 10^9 Nm^2/C^2) * ((15 x 10^-10 C) * (13 x 10^-10 C)) / (0.12 m)
Next, let's calculate the final potential energy (Uf) with the distance of 12cm - 4cm = 8cm:
Uf = (8.99 x 10^9 Nm^2/C^2) * ((15 x 10^-10 C) * (13 x 10^-10 C)) / (0.08 m)
Finally, we can calculate the work done (W) by subtracting Ui from Uf:
W = Uf - Ui
Plug in the values and calculate to get the final answer.